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3 years ago

What is the y-value of the solution to the system below?

Mathematics

2 answers:

myrzilka [38]3 years ago

8 0

Yes that’s completely true because of course you can’t say it is false

kirill [66]3 years ago

8 0

Answer:

Have you ever used the desmos graphing calculator? You should use that. Type in both of those equations. If they intersect at a point, the y value of the ordered pair is your answer. If the lines over lap, it is infinitely many solutions. If they never intersect, there is no solution.

Step-by-step explanation:

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Let g be the function given by g(x)=limh→0sin(x h)−sinxh. What is the instantaneous rate of change of g with respect to x at x=π

lorasvet [3.4K]

The instantaneous rate of change of g with respect to x at x = π/3 is 1/2.

<h3>How to determine the instantaneous rate of change of a given function</h3>

The instantaneous rate of change at a given value of $x$ can be found by concept of derivative, which is described below:

$g(x) = \lim_{h \to 0} \frac{f(x+h)-f(x)}{h}$

Where $h$ is the difference rate.

In this question we must find an expression for the instantaneous rate of change of $g$ if $f(x) = \sin x$ and evaluate the resulting expression for $x = \frac{\pi}{3}$ . Then, we have the following procedure below:

$g(x) = \lim_{h \to 0} \frac{\sin (x+h)-\sin x}{h}$

$g(x) = \lim_{h \to 0} \frac{\sin x\cdot \cos h +\sin h\cdot \cos x -\sin x}{h}$

$g(x) = \lim_{h \to 0} \frac{\sin h}{h}\cdot \lim_{h \to 0} \cos x$

$g(x) = \cos x$

Now we evaluate $g(x)$ for $x = \frac{\pi}{3}$ :

$g\left(\frac{\pi}{3} \right) = \cos \frac{\pi}{3} = \frac{1}{2}$

The instantaneous rate of change of g with respect to x at x = π/3 is 1/2. $\blacksquare$

To learn more on rates of change, we kindly invite to check this verified question: brainly.com/question/11606037

4 0

2 years ago

If there is an 80% chance of rain and a 10% chance of wind and rain, what is the probability that it is windy, given that it is

dalvyx [7]

13% (apex) is the correct answer

4 0

4 years ago

Indicate whether the following variables are qualitative (QL) or quantitative (QU): a. Favorite color ____ b. Current Occupation

Whitepunk [10]

Answer:

a. Qualitative.

b. Qualitative.

c. Quantitative.

d. Quantitative.

e. Qualitative.

Step-by-step explanation:

Favorite color can be classified into different categories such as blue,orange, white etc, so, favorite color is a qualitative variable.

Current Occupation can be classified into different categories such as teacher, lawyer and doctor etc, so, current occupation is a qualitative variable.

Number of extra credit problems solved can be meaningfully presented as numerical figures so, number of extra credit problems solved is a quantitative variable.

Number of students in class can be meaningfully presented as numerical figures so, number of of students in our class is a quantitative variable.

Exam Grades can be classified into different categories such as A, B and C etc, so, exam grades is a qualitative variable.

4 0

4 years ago

Evaluate the equation: 1 2/3 - t = 1/4

Schach [20]

-1 5/12 You have to subtract one and 2/3 by one fourth and then take the negative from the tea and add it to your answer

7 0

3 years ago

Read 2 more answers

Maurice's new CD has 12 songs. Each song lasts between 3 and 4 minutes. He estimates that the whole CD is about 30 minutes long.

nlexa [21]

Answer:

The estimate is less than the actual length of the CD.

Step-by-step explanation:

Consider the provided information.

Maurice's new CD has 12 songs. Each song lasts between 3 and 4 minutes.

That means the minimum length of the CD should be: 12×3=36 minutes.

The maximum length of the CD should be: 12×4=48 minutes

He estimates that the whole CD is about 30 minutes long.

30 minutes is less than 36 minutes.

That means, the estimate is less than the actual length of the CD.

Hence, the correct statement is: The estimate is less than the actual length of the CD.

6 0

3 years ago

What is the y-value of the solution to the system below?​

What is the y-value of the solution to the system below?